International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 3, Pages 517-521

On translativity of absolute Rogosinski-Bernstein summability methods

Azmi K. Al-Madi

Department of Mathematics, U.A.E. University, Al-Ain, United Arab Emirates

Received 26 November 1986; Revised 25 February 1987

Copyright © 1988 Azmi K. Al-Madi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The paper is concerned with the problem of translativity of an absolute Rogosinski-Bernstein summability methods (Bh); 0h1. The paper contains two results that when h; 12h1, |Bh| is translative and when h; (0<h<12), then |Bh| is not translative neither to the left nor to the right.